Results 11 to 20 of about 429 (123)

Useful relations among the generators in the defining and adjoint representations of SU(N)

SciPost Physics Lecture Notes, 2021
There are numerous relations among the generators in the defining and adjoint representations of SU(N). These include Casimir operators, formulae for traces of products of generators, etc.
Howard E. Haber
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Deformations of the three-dimensional Lie algebra sl(2)

Қарағанды университетінің хабаршысы. Математика сериясы, 2020
Deformation is one of key questions of the structural theory of algebras over a field. Especially, it plays a important role in the classification of such algebras.
A.A. Ibrayeva, Sh.Sh. Ibraev, B.E. Turbayev   +2 more
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Geometric Theory of Heat from Souriau Lie Groups Thermodynamics and Koszul Hessian Geometry: Applications in Information Geometry for Exponential Families

Entropy, 2016
We introduce the symplectic structure of information geometry based on Souriau’s Lie group thermodynamics model, with a covariant definition of Gibbs equilibrium via invariances through co-adjoint action of a group on its moment space, defining physical ...
Frédéric Barbaresco
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Extended geometries

Journal of High Energy Physics, 2018
We present a unified and completely general formulation of extended geometry, characterised by a Kac-Moody algebra and a highest weight coordinate module.
Martin Cederwall, Jakob Palmkvist
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BPS Center Vortices in Nonrelativistic SU(N) Gauge Models with Adjoint Higgs Fields

Advances in High Energy Physics, 2015
We propose a class of SU(N) Yang-Mills models, with adjoint Higgs fields, that accept BPS center vortex equations. The lack of a local magnetic flux that could serve as an energy bound is circumvented by including a new term in the energy functional ...
L. E. Oxman
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Non-finitary Generalizations of Nil-triangular Subalgebras of Chevalley Algebras

Известия Иркутского государственного университета: Серия "Математика", 2019
Let $N\Phi(K)$ be a niltriangular subalgebra of Chevalley algebra over a field or ring $K$ associated with root system $\Phi$ of classical type. For type $A_{n-1}$ it is associated to algebra $NT(n,K)$ of (lower) nil-triangular $n \times n$- matrices ...
J. V. Bekker, V. M. Levchuk, E. A. Sotnikova   +2 more
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Supersymmetric localization in AdS5 and the protected chiral algebra

Journal of High Energy Physics, 2018
N=4 $$ \mathcal{N}=4 $$ super Yang-Mills theory admits [1] a protected subsector isomorphic to a two-dimensional chiral algebra, obtained by passing to the cohomology of a certain supercharge. In the large N limit, we expect this chiral algebra to have a
Federico Bonetti, Leonardo Rastelli
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Analysis of the vacuum solution of the five-dimensional Einstein field equations with negative cosmological constant via variational symmetries [PDF]

AUT Journal of Mathematics and Computing
The Kaluza-Klein theory can be reckoned as a classical unified field theory of two of the significant forces of nature gravitation and electromagnetism.
Fatemeh Ahangari
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Trivalent Categories for Adjoint Representations of Exceptional Lie Algebras

, 2022
We consider the universal pivotal, symmetric, monoidal, $\Bbbk$-linear category, generated by a Schurian object with a skew-symmetric multiplication, and study some of its quotients. We show that these quotients give rise to either vector product algebras or representation categories of exceptional Lie algebras.
openaire   +2 more sources

The Lax Integrable Differential-Difference Dynamical Systems on Extended Phase Spaces

Symmetry, Integrability and Geometry: Methods and Applications, 2010
The Hamiltonian representation for the hierarchy of Lax-type flows on a dual space to the Lie algebra of shift operators coupled with suitable eigenfunctions and adjoint eigenfunctions evolutions of associated spectral problems is found by means of a ...
Oksana Ye. Hentosh
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